6 problems

Volume conjecture. The total volume of the emergent surface is

Let $X_1,X_2,\ldots,X_d$ be the $d$ matrices of a reduced Yang–Mills model, and let $R$ be a radius. Uniform-ball conjecture. The joint eigenvalues distribution of…

Let the supersymmetric Yang–Mills matrix model have a phase with a background sphere and a phase in which the matrices commute. Ydri's conjecture. The transition from the backgroun…

Let $X_\mu$, $\mu=1,\ldots,4$, be the four matrices in the matrix phase, and let $R$ be the radius of a solid ball. Four-dimensional uniform-ball conjecture. The joint probability…

Consider a noncommutative gauge theory formulated by a mass-deformed supersymmetric Yang–Mills matrix model, with a background fuzzy-sphere geometry and a commuting-matrix phase. S…

The model has commuting matrices in the matrix phase and a fuzzy sphere as its background geometry. Spontaneous supersymmetry-breaking conjecture. The transition from the backgroun…